Finding Your local time correctly is generally hard because every watch/tool shows a different time because of the time difference, though now you can start using google as a world time clock and not just as a search engine.
Here is the process for this :
Go to Google.com and search for Time in US and you will be directed to a search result page with the current time in US and the major states. This tool works not only for US but works for the most major countries and states, here are some search keywords : Time in US, Time in Hyderabad, Time in India, Time in China, Time in Chennai, Time in Delhi etc
The main option is to just type in ‘Time in‘ followed by the location name to get the correct time and you dont need to use the time conversion tools.